On short wave-long wave interactions in the relativistic context
Analysis of PDEs
2022-01-25 v5
Abstract
In this paper we introduce models of short wave-long wave interactions in the relativistic setting. In this context the nonlinear Schr\"odinger equation is no longer adequate for describing short waves and is replaced by a nonlinear Dirac equation. Two specific examples are considered: the case where the long waves are governed by a scalar conservation law; and the case where the long waves are governed by the augmented Born-Infeld equations in electromagnetism.
Cite
@article{arxiv.2104.12849,
title = {On short wave-long wave interactions in the relativistic context},
author = {João Paulo Dias and Hermano Frid},
journal= {arXiv preprint arXiv:2104.12849},
year = {2022}
}